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194491384968 = 233175965312373
BaseRepresentation
bin1011010100100010010…
…1110000010010001000
3200121000102212001021110
42311020211300102020
511141304243304333
6225203105210320
720023451331606
oct2651045602210
9617012761243
10194491384968
11755353531a1
123183a9309a0
1315456cb015a
1495b0664876
1550d4a52063
hex2d48970488

194491384968 has 128 divisors (see below), whose sum is σ = 524400220800. Its totient is φ = 59886022656.

The previous prime is 194491384963. The next prime is 194491384973. The reversal of 194491384968 is 869483194491.

It is an interprime number because it is at equal distance from previous prime (194491384963) and next prime (194491384973).

It is a super-2 number, since 2×1944913849682 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 194491384899 and 194491384908.

It is not an unprimeable number, because it can be changed into a prime (194491384963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15712830 + ... + 15725202.

It is an arithmetic number, because the mean of its divisors is an integer number (4096876725).

Almost surely, 2194491384968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194491384968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262200110400).

194491384968 is an abundant number, since it is smaller than the sum of its proper divisors (329908835832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

194491384968 is a wasteful number, since it uses less digits than its factorization.

194491384968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13111 (or 13107 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 66.

The spelling of 194491384968 in words is "one hundred ninety-four billion, four hundred ninety-one million, three hundred eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 59 68 102 118 136 177 204 236 354 408 472 653 708 1003 1306 1416 1959 2006 2612 3009 3918 4012 5224 6018 7836 8024 11101 12036 12373 15672 22202 24072 24746 33303 37119 38527 44404 49492 66606 74238 77054 88808 98984 115581 133212 148476 154108 210341 231162 266424 296952 308216 420682 462324 631023 654959 730007 841364 924648 1262046 1309918 1460014 1682728 1964877 2190021 2524092 2619836 2920028 3929754 4380042 5048184 5239672 5840056 7859508 8079569 8760084 12410119 15719016 16159138 17520168 24238707 24820238 32318276 37230357 48477414 49640476 64636552 74460714 96954828 99280952 137352673 148921428 193909656 274705346 297842856 412058019 476694571 549410692 824116038 953389142 1098821384 1430083713 1648232076 1906778284 2860167426 3296464152 3813556568 5720334852 8103807707 11440669704 16207615414 24311423121 32415230828 48622846242 64830461656 97245692484 194491384968